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2\sqrt{2}+\sqrt{12}+\sqrt{18}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
2\sqrt{2}+2\sqrt{3}+\sqrt{18}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
2\sqrt{2}+2\sqrt{3}+3\sqrt{2}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
5\sqrt{2}+2\sqrt{3}
Combine 2\sqrt{2} and 3\sqrt{2} to get 5\sqrt{2}.